Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 18 feet. Container B has a radius of 7 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?

Answer:

assume: f(x) = A(bx); then: f(8) = A(b8) = 20;

and: f(2) = A(b2) = 5

dividing the first equation by the second equation gives: b6 = 4; or: b = 4(1/6) = 1.26;

then: A(1.262) = 5; or: A = 5/(1.262) = 3.15; then: f(x) = 3.15(1.26x);

so that: f(25) = 3.15(1.2625) = 1017.6 ---> 1018

Step-by-step explanation:

hope it helps and Work..

The required order of who came in the first second and so on the place is A1, Edgarr, Filomena, Courtney, and Brad respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Time is taken by A1 to finish the marathon in seconds
Total =  2 hours * 60 minutes/hour * 60 seconds/minute  +120 minutes * 60 seconds/minute + 60 seconds

Total = 14,560 seconds

Similarly,

Brad: takes 21,720 seconds

Courtney: takes 18,333 seconds

Edgar: takes 14,800 seconds

Filomena: takes 17,601 seconds

Comparing the total times, we can see that the order of the runners is:

A1 with 14,560 seconds

Edgar with 14,800 seconds

Filomena with 17,601 seconds

Courtney with 18,333 seconds

Brad with 21,720 seconds

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Answer:

= −6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

-14x + x + 6 = -14

-14 - (-14) = 0

x + 6 = 0

x = 0 - 6

x = -6

Answer:

terminating

Step-by-step explanation:

"terminating decimal" since it ends. It does not go on for ever like 6.2222...

the annual percentage yields are 6.69% and 5.13% for the given scenarios, respectively.

(a) The annual percentage yield for an investment at a rate of 6.4% compounded monthly is 6.68%. This can be calculated using the formula A = P(1 + r/n)^(nt), where A is the ending balance, P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the number of years. Plugging in the values, we get A = P(1 + 0.064/12)^(12*1) = P(1.00533)^12, which simplifies to A/P = 1.0668. Converting to a percentage, we get 6.68%.
(b) The annual percentage yield for an investment at a rate of 5% compounded continuously is 5.13%. This can be calculated using the formula A = Pe^(rt), where e is the base of the natural logarithm. Plugging in the values, we get A = Pe^(0.05*1) = Pe^0.05, which simplifies to A/P = 1.0513. Converting to a percentage, we get 5.13%.
(a) To find the annual percentage yield (APY) for a 6.4% interest rate compounded monthly, we use the formula:
APY = (1 + r/n)^(nt) - 1
where r is the annual interest rate (0.064), n is the number of compounding periods per year (12), and t is the time in years (1).
APY = (1 + 0.064/12)^(12*1) - 1
APY = 0.0669 or 6.69%
(b) For a 5% interest rate compounded continuously, we use the formula:
APY = e^(rt) - 1
where e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate (0.05), and t is the time in years (1).
APY = e^(0.05*1) - 1
APY = 0.0513 or 5.13%
So, the annual percentage yields are 6.69% and 5.13% for the given scenarios, respectively.

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Answer:

The lawn care is the most sucsessful.The most money is earned and the uh House shelter or whatever is in the middle and the dog thing is the least sucsesful with the money.

For the second,i dont get it.

The lawn care is wealthy BUT never judge a book by its cover so the lawn care (lc)may be dirty,smelly,uncivilized,or just no privacey.

The value of (double)(5/2) is 2.0. In the expression (double)(5/2), the division operation 5/2 is performed using integer division because both 5 and 2 are integers.

Integer division truncates the decimal part of the result and returns the quotient as an integer. In this case, 5 divided by 2 is equal to 2.

However, by explicitly casting the result to a double (using the (double) operator), we convert the integer value 2 to a double value, which becomes 2.0.

Therefore, the value of (double)(5/2) is 2.0, as the division is performed as an integer division followed by a casting to a double.

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The length of the segment indicated is: 4.6 when rounded to the nearest tenth.

To find the length of the segment, we begin by adopting the Pythagoras theorem, where the length of the longest side is given as

x² = y² + z²

From this diagram,

y = 38.8/2 = 7.76

z = 9

x = ?

9² = 7.76² + z²

81 = 60.22 + z²

81 - 60.22 = z²

20.78 = z²

z = √20.78

= 4.55

So, the length of x = 4.55

The full length can be gotten by multiplying by 2 to give 9.1

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which questions ..??????

The car salesperson made $62,000 in sales for the month

Let us say the amount of sales the car salesperson made in a month is x. Then, the total income can be represented as:

$1,400 + 0.05x = $4,500

The equation represents the total income of the car salesperson as the base salary of $1,400 per month plus a commission of 5% on sales. To find the amount of sales made, we have to solve x.

Subtracting $1,400 from both sides:

0.05x = $4,500 - $1,400 = $3,100

Dividing both sides by 0.05:

x = $3,100 / 0.05 = $62,000

So the car salesperson made $62,000 in sales for the month.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

12

Step-by-step explanation:

The team pays d - 3 dollars for each hat after the discount.

Cost is the amount of money required to purchase or produce a particular item or service. It is often represented by the symbol "C" in mathematical equations.

According to the given information:

Let's start by breaking down the given information:

The team buys 14 hats in total.

The total cost for the 14 hats is 14(d-3) dollars.

The team received a discount on each hat purchase.

To find the cost of each hat, we need to divide the total cost by the number of hats:

cost per hat = total cost / number of hats

Plugging in the given values, we get:

cost per hat = 14(d-3) / 14

Simplifying the expression by canceling out the common factor of 14, we get:

cost per hat = d - 3

Therefore, the team pays d - 3 dollars for each hat after the discount.

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C. The probability of getting a male and getting someone with blue eyes.

P(MIB) is the probability of getting both a male and someone with blue eyes. This means that it represents the combined probability of both events happening. P(BIM) is the probability of getting a male, given that someone with blue eyes has been selected. The two probabilities are not the same because they measure different events. P(MIB) is measuring the combined probability of two events happening at the same time, while P(BIM) is measuring the probability of one event given the other has already happened.

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The value of x is 4 which means that the first digit in the sequence is 4, the second digit is 5, the third digit is 6, and so on.

This problem is asking for the value of x in a sequence of 14 digits where the sum of any three consecutive digits is equal to 15. To solve for x, we can use the information provided and basic algebra.

Let's assign a variable to each of the 14 digits in the sequence. For example, let x be the first digit, (x + 1) be the second digit, (x + 2) be the third digit, and so on. Then, the sum of any three consecutive digits must equal 15:

x + (x + 1) + (x + 2) = 15

Expanding and solving for x, we get:

3x + 3 = 15

3x = 12

x = 4

So, the value of x is 4. This means that the first digit in the sequence is 4, the second digit is 5, the third digit is 6, and so on. By continuing this pattern, we can fill in the entire sequence of 14 digits such that the sum of any three consecutive digits is equal to 15.

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Answer:

*insert name* goes to the park. on the way there they stop by *insert coffee shop* then finish going to the park. then they go home

Step-by-step explanation:

Answer:

(30.00)

Step-by-step explanation:

(30.00) is the correct answer for your question/ statement you have asked. the answer is (30.00) again.

Proportionately, the amount of water in a whole recipe is 3/10 or 30%.

A proportion is an equation that sets two ratios equal to each other.

Essentially, a proportion shows the equivalent portion or share of one variable over another.

Proportions may be stated as ratios, fractions, decimals, or percentages.

Bjorn's recipe = 5/6 or 83.3%

Water used for Bjorn's recipe = 1/4 or 25%

Water for a whole recipe or 1/1 = 0.25/0.833

= 0.3 or 3/10.

Thus, proportionately, the amount of water in a whole recipe is 3/10 or 30%.

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Bjorn is making aush, and he does not have enough of all the ingredients. He decides to make 5/6 of a whole recipe, which means he uses 1/4 of water. How much water is in a whole recipe?

Answer:

3/2

Step-by-step explanation:

To evaluate the expression 12x⁻³y⁻¹ for x = -1 and y = 5, we substitute these values into the expression.

12x⁻³y⁻¹ = 12(-1)⁻³(5)⁻¹

Here, -1 is raised to an odd power, so it is negative.

-1³ = -1 × -1 × -1

= -1

So, (-1)³ = -1

Thus, we have:

12x⁻³y⁻¹ = 12(-1)⁻³(5)⁻¹

= 12(-1/1)(1/5)

= -12/5

Therefore, the value of 12x⁻³y⁻¹ for x = -1 and y = 5 is -12/5.

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Answer:

1/64

Step-by-step explanation:

(1/8)² = 1/64

In the given situation, the researcher should use the (C) independent sample t-test to determine whether there is a significant difference in mood scores for non-pet owners versus pet owners.

Therefore, in the given situation, the researcher should use the (C) independent sample t-test to determine whether there is a significant difference in mood scores for non-pet owners versus pet owners.

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Correct question:
A researcher used a matched-subjects design to investigate whether single people with pets are happier than singles without pets. a mood inventory survey was given to a group of 20- to 29-year-old non-pet owners and a similar age group of pet owners. the pet owners were matched one-to-one with the non-pet owners for income, number of close friendships, and general health. what test should you use to determine whether there is a significant difference in the mood scores for non-pet owners versus pet owners? group of answer choices

a. related samples t-test

b. one-sample t-test

c. independent samples t-test

(a) The expected number of board-feet of timber next year is 102.9. (b) The interest rate at the bank matters in deciding to cut the trees down now or in the future due to the opportunity cost of waiting and potential earnings from investing the proceeds. (c) In order for cutting the trees down next year to be a better choice than cutting them down now, the interest rate at the bank has to be lower.

(a) To calculate the expected number of board-feet of timber next year, we multiply the probabilities of each outcome by the corresponding timber quantity and sum them. With a 98% probability of growth and a 5% increase in timber, and a 2% probability of fire and no timber, the expected number of board-feet of timber next year would be: (0.98 * 100 * 1.05) + (0.02 * 0) = 102.9 board-feet.

(b) The interest rate at the bank matters in deciding to cut the trees down now or in the future because it represents the opportunity cost of waiting. By cutting the trees down now and selling the timber, you can invest the proceeds in the bank and earn interest over time. If the interest rate is high, the present value of the future timber may be lower compared to the immediate cash flow from selling the timber now, making it more favorable to cut the trees down earlier.

(c) In order for cutting the trees down next year to be a better choice than cutting them down now, the interest rate at the bank has to be lower. A lower interest rate implies that the present value of future cash flows (from selling the timber next year) is higher relative to the immediate cash flow (from selling the timber now). Therefore, a lower interest rate makes it more advantageous to delay cutting the trees and wait for them to grow, maximizing the forester's profit.

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The equation with a solution s = 3/4 is the second option:

4s = 3

We want to see which of the given equations has a solution s = 4/3.

What you can do is take all the given equations and solve them, for example, if I solve the first one:

s - 1 = 1/4

We will get:

s = 1 + 1/4 = 5/4

So this one is not the correct one.

The second equation is:

4s = 3

Dividing both sides by 4:

s = 3/4

So this is the correct option.

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Answer:

Given: An Isosceles Triangle ABC with a vertex at B.

Midpoint M of the base AC.

To Prove: BM is perpendicular to AC.  

Proof:

Let the coordinates of the points of the isosceles triangle be given as:

A =  (-k, 0)

Vertex, B =  (0,a)  

C = (k, 0)

Midpoint, M = (0,0)

Slope of the base segment, AC:

\(=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}\)

Slope of the base segment,  AC= \(\dfrac{0}{2\cdot k}=0\)

Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.

\(\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\\)

\(\text{Slope of BM = } \dfrac{-a}{0}\)  = Undefined

Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.

Since \(-\dfrac{a}{0}\) is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.

This concludes the proof.

Find the volume of the cone with the height of 7 and the radius of 10.

Radius (r) of the cone = 10 units.

Height (h) of the cone = 7 units.

The volume of the cone.

We know,

\( \bigstar \) Formula of Volume of the cone is \( \frac{1}{3} \pi r²h \)

So, Volume of the cone = \( \frac{1}{3} × 3.14 × (10)² × 7 \)

Volume of the cone = \( \frac{1}{3} × 3.14 × 10 × 10 × 7 \)

Volume of the cone = \( \frac{2198}{3} \)

Volume of the cone = 732.66 cubic units. (approx)

Step-by-step explanation:

Given:-

Radius (r) of the cone = 10 units.

Height (h) of the cone = 7 units.

To Find:-

The volume of the cone.

Solution:-

We know,

Formula of Volume of the cone is 1/3πr²h

So,

1/3×3.14×10×10×7

= 732.66 cubic unit.

Answer:

Its number 1

Step-by-step explanation:

Number One. Okay?

Answer: I believe that the answer is D. please let me know if I'm right. :)

Answer:

209km

Step-by-step explanation:

3hr 48min=228min

228÷12=19

11×19=209km